The given curve is --- y = x^5 + x^3 - 2x
<span>First derivative to this curve is y' = 5 x^4 + 3 x^2 - 2 </span>
<span>=> Slope (m) = 5 x^4 + 3 x^2 - 2 </span>
<span>For the minimum value of m we calculate dm/dx and put it = 0 </span>
<span>=> d( 5 x^4 + 3 x^2 - 2 ) / dx = 0 </span>
<span>=> 20 x^2 + 6 x = 0 </span>
<span>=> x ( 20 x + 6 ) = 0 </span>
<span>Turning values of x are 0 and - 6 / 20 = ( - 3 / 10 ) </span>
<span>At x = 0 , m = - 2 </span>
<span>and at x = - 3/10 </span>
<span>m = 5 x^4 + 3 x^2 - 2 </span>
<span>=> m = 5 ( - 3 / 10 )^4 + 3 ( - 3 / 10 )^2 - 2 = - 1.68 </span>
<span>Hence at turning points, the slope is minimum at x = 0 and is equal to = - 2 </span>
<span>MINIMUM VALUE OF THE SLOPE = - 2</span>
Answer: $15.90/hr
Step-by-step explanation:
We need to add 6% to her $15/hr current pay. This can be calculated with:
$15/hr *(1+0.06) = $15.90/hr
The "(1+0.06)" represents a) 1 the current salary, and b) the 6% raise.
Number 1 is B b/c is u count backwards 5 u get b
Answer:
80 4 4
___ x 60 = ____ 60 = _____ x 12 = 48 questions he will need to get right.
100 5 1
Answer:
SAS
Step-by-step explanation:
The triangles are compared with 2 sides and 1 angle. So, it is SAS
